To calculate the Log Volume (V) using Scribner Log Scale:
\[ V = \left( \frac{D^2 \times L}{16} \right) - \left( 0.033 \times D \times (D - 1) \right) \]
Where:
The Scribner Log Scale is a system used in the forestry industry to estimate the amount of lumber that can be yielded from a log. Developed by J.M. Scribner in the 19th century, the scale is based on diagrams of circles representing the cross-section of logs, with deductions made for saw kerf (the width of the cut made by the saw) and slabs. The scale is typically presented in the form of a table or rule, and is commonly used in the United States, particularly in the softwood lumber industry.
Let's assume the following values:
Using the formula:
\[ V = \left( \frac{12^2 \times 16}{16} \right) - \left( 0.033 \times 12 \times (12 - 1) \right) \]
\[ V = \left( \frac{144 \times 16}{16} \right) - \left( 0.033 \times 12 \times 11 \right) \]
\[ V = 144 - 4.356 = 139.64 \text{ board feet} \]
The Log Volume is 139.64 board feet.
